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Sobolev Orthogonal Polynomials with a Small Number of Real Zeros

✍ Scribed by H.G. Meijer

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 235 KB
Volume: 77
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1994.1052

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## Abstract Let __d__μ(__x__) = (1 − __x__^2^)^α−1/2^__dx__,α> − 1/2, be the Gegenbauer measure on the interval [ − 1, 1] and introduce the non‐discrete Sobolev inner product where λ>0. In this paper we will prove a Cohen type inequality for Fourier expansions in terms of the polynomials orthogona